Show that any 2 × 2 game (i.e., a game in which each player has exactly two strategies) has a pair of optimal strategies that are both pure or both fully mixed. Show that this can fail for 3 × 3 games.
Sample Solution
Show that any 2 × 2 game (i.e., a game in which each player has exactly two strategies) has a pair of optimal strategies that are both pure or both fully mixed. Show that this can fail for 3 × 3 games.
Sample Solution